Robert Tijdeman

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Robert Tijdeman is affiliated with the following schools: University of Amsterdam, Leiden University

Robert Tijdeman's AcademicInfluence.com Rankings

Robert Tijdeman

Mathematics

#1722

World Rank

#2759

Historical Rank

Measure Theory

#2699

World Rank

#3225

Historical Rank

mathematics Degrees

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Mathematics

Robert Tijdeman's Degrees

PhD Mathematics Leiden University

Why Is Robert Tijdeman Influential?

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According to Wikipedia, Robert Tijdeman is a Dutch mathematician. Specializing in number theory, he is best known for his Tijdeman's theorem. He is a professor of mathematics at the Leiden University since 1975, and was chairman of the department of mathematics and computer science at Leiden from 1991 to 1993. He was also president of the Dutch Mathematical Society from 1984 to 1986.

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Robert Tijdeman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Exponential Diophantine Equations (1987) (134)
On the equation of Catalan (1976) (107)
On the equation $y^m = P(x)$ (1976) (97)
Algebraic aspects of discrete tomography (2001) (83)
The distance between terms of an algebraic recurrence sequence. (1984) (68)
Fraenkel's conjecture for six sequences (2000) (66)
On the number of zeros of general exponential polynomials (1970) (64)
On the Oesterlé-Masser conjecture (1986) (62)
On integers with many small prime factors (1973) (58)
New Advances in Transcendence Theory: S -unit equations and their applications (1988) (55)
On the maximal distance between integers composed of small primes (1974) (53)
The chairman assignment problem (1980) (52)
OnS-unit equations in two unknowns (1988) (50)
Computational methods in number theory (1982) (48)
Transcendental infinite sums (2001) (47)
Perfect powers in products of terms in an arithmetical progression III (1990) (45)
An auxiliary result in the theory of transcendental numbers (1973) (43)
Multi-dimensional versions of a theorem of fine and wilf and a formula of Sylvester (2003) (39)
Balance properties of multi-dimensional words (2002) (37)
The rectangle complexity of functions on two-dimensional lattices (2002) (36)
A Tribute to Paul Erdős: On the greatest prime factor of an arithmetical progression (1990) (35)
New applications of Diophantine approximations to Diophantine equations. (1976) (35)
An algorithm for discrete tomography (2001) (34)
The complexity of functions on lattices (2000) (33)
On the algebraic independence of certain numbers (1971) (33)
Some diophantine equations with many solutions (1988) (30)
On Infinite-Difference Sets (1979) (29)
Irreducibility of polynomials and arithmetic progressions with equal products of terms (2012) (29)
On a Distribution Problem in Finite and Countable Sets (1973) (29)
An extension of a theorem of Euler (2007) (28)
On the greatest prime factor of (ab + 1) (ac + 1) (bc + 1) (1997) (25)
On complementary triples of Sturmian bisequences (1996) (25)
On the irrationality of Cantor series (2004) (25)
The two-dimensional Prouhet-Tarry-Escott problem (2007) (23)
Exact covers of balanced sequences and Fraenkel's conjecture (2000) (23)
On prime factors of sums of integers III (1986) (22)
On the diophantine equation 1k+2k+...+xk+R(x)=yz (1979) (22)
On the irrationality of Cantor and Ahmes series (2004) (22)
Generalizations of some irreducibility results by Schur (2010) (21)
Fine and Wilf words for any periods II (2009) (20)
Periodicity and Almost-Periodicity (2006) (20)
On the transcendence of certain power series of algebraic numbers (1973) (20)
Fine and Wilf words for any periods (2003) (20)
On the multiplicities of binary complex recurrences (1984) (20)
Asymptotic densities of sets of positive integers (1983) (18)
Cubes in products of terms in arithmetic progression (2009) (18)
A sequence has almost nowhere small discrepancy (1980) (18)
On the Transcendence of Infinite Sums of Values of Rational Functions (2003) (18)
The Number of Solutions of Diophantine Equations (17)
Diophantine Approximation and its Applications (1993) (17)
Number Theory: Decomposition of the integers as a direct sum of two subsets (1995) (17)
Bounds on the Difference between Reconstructions in Binary Tomography (2011) (17)
On the equation $1^k + 2^k + ... + x^k = y^z$ (1980) (17)
On the Maximal Distance of Numbers with a Large Prime Factor (1972) (16)
Bounds on the quality of reconstructed images in binary tomography (2013) (16)
Irreducibility criteria of Schur-type and Pólya-type (2011) (16)
On the irrationality of factorial series (2005) (16)
Exponential diophantine equations with four terms (1992) (16)
Some Applications of Diophantine Approximation (2000) (15)
On the number of zeros of certain functions (1975) (14)
Representing integers as linear combinations of powers (2011) (14)
General neighborhood sequences in Zn (2007) (14)
Exponential diophantine equations 1986-1996 (1998) (14)
Some applications of Baker's sharpened bounds to diophantine equations (1975) (14)
On continued fraction algorithms (2008) (14)
SUBSTITUTIONS, ABSTRACT NUMBER SYSTEMS AND THE SPACE FILLING PROPERTY (2006) (13)
Algebraic Discrete Tomography (2007) (13)
Multivariate Diophantine equations with many solutions (2001) (13)
Lattices and multi-dimensional words (2004) (12)
Convergence properties of linear recurrence sequences (1990) (12)
The Tribonacci substitution. (2005) (12)
Intertwinings of periodic sequences (1998) (12)
Sums of products of powers of given prime numbers (1988) (12)
Digital blocks in linear numeration systems (1999) (11)
On the greatest prime factors of polynomials at integer points (1976) (11)
On arithmetic progressions of equal lengths with equal products (1995) (11)
Algebraic aspects of emission tomography with absorption (2003) (10)
On arithmetic progressions with equal products (1994) (10)
On density-difference sets of sets of integers (1983) (10)
Some extensions and refinements of a theorem of Sylvester (2002) (10)
On additive functions (1974) (9)
Representing integers as linear combinations of power products (2012) (8)
Bounds for discrete tomography solutions (2011) (8)
Bounds for the maximum modulus of the first k power sums (1974) (8)
On the number of prime factors of a finite arithmetical progression (1992) (7)
On the irrationality of factorial series II (2010) (7)
On the Catalan equation over algebraic number fields. (1986) (7)
On the edge-colouring problem for unions of complete uniform hypergraphs (1981) (7)
Approximation of the Euclidean Distance by Chamfer Distances (2012) (7)
On the irrationality of factorial series III (2009) (6)
Some estimates in the theory of exponential sums (1973) (6)
Measuring regularity of network patterns by grid approximations using the LLL algorithm (2016) (6)
On the minimal complexity of infinite words (1999) (6)
Algorithms for linear time reconstruction by discrete tomography II (2021) (6)
On a conjecture of Pomerance (2011) (6)
On the irrationality of polynomial Cantor series (2008) (6)
Algorithms for linear time reconstruction by discrete tomography (2019) (6)
Boundary Ghosts for Discrete Tomography (2021) (6)
Bounds for Approximate Discrete Tomography Solutions (2012) (6)
An auxiliary result in the theory of transcendental numbers. II (1975) (6)
Representation of finite graphs as difference graphs of S-units. II (2014) (5)
The Fermat equation with polynomial values as base variables (1985) (5)
On the equation x(x+1)... (x+k-1) = y(y+d)... (y+(mk-1)d), m=1,2 (1995) (5)
On an inequality of P. Turán (1970) (5)
Equal values of binary forms at integral points (1987) (5)
On irrationality and transcendency of infinite sums of rational numbers (5)
Characterizations of Words with Many Periods (2009) (4)
Bounded discrepancy sets (1981) (4)
On conjectures and problems of Ruzsa concerning difference graphs of S-units (2014) (4)
Approximation of real matrices by integral matrices (1986) (4)
On the greatest prime factors of an arithmetical progression (III) (1992) (4)
Riesz Products are Basic Measures (1984) (4)
Low complexity functions and convex sets in $\mathbb{Z}^k$ (2000) (4)
Analytic Number Theory: Irrationality Criteria for Numbers of Mahler's Type (1997) (3)
Review: L. Kuipers and H. Niederreiter, Uniform distribution of sequences (1975) (3)
On values of a polynomial at arithmetic progressions with equal products (1995) (3)
Erratum to: On the diophantine equation 1k+2k+...+xk+R(x)=yz (1987) (3)
Roth’s theorem (2019) (3)
The Prouhet–Tarry–Escott problem, indecomposability of polynomials and Diophantine equations (2022) (2)
Chamfer Distances with Integer Neighborhoods (2)
Three-Dimensional Maximal and Boundary Ghosts (2021) (2)
Cryptography and data protection : proceedings of a symposium at the Royal Netherlands Academy of Arts and Sciences on 19th December 1990 (1992) (2)
Arithmetic Properties of Blocks of Consecutive Integers (2016) (2)
Finding well approximating lattices for a finite set of points (2016) (2)
On a conjecture of Turán and Erdös (1966) (2)
On integers generated by a finite number of fixed primes (1974) (2)
On the Amount of Sieving in Factorization Methods (2004) (2)
Some Methods of Erdős Applied to Finite Arithmetic Progressions (2013) (2)
One-sided power sum and cosine inequalities (2013) (1)
Rauzy substitutions and multi-dimensional Sturmian words (2005) (1)
On the product of the terms of a finite arithmetic progression (1989) (1)
ON THE DIOPHANTINE EQUATION lk+2k+...+Xk+R(X) =y~ (1979) (1)
Consistency Conditions for Discrete Tomography (2017) (1)
Products of factorials which are powers (2019) (1)
Representation of finite graphs as difference graphs of S-units. II (2016) (1)
Computational methods in number theory, part 2 : [based on lectures, presented at the study week 'Number theory and computers', Amsterdam, 01-05.09.1980] (1982) (1)
Approximation of the Euclidean Distance by (2012) (1)
The combinatorics of N.G. de Bruijn (2013) (1)
SINGULAR DIFFERENCES OF POWERS OF 2×2-MATRICES (2002) (1)
Characterisation of asymptotically Sturmian sequences (2000) (1)
A Criterion for Polynomials to Divide Infinitely Many k - Nomials (2008) (1)
Corrections to the paper "On values of a polynomial a arithmetic progressions with equal products" (Acta Arith. 72 (1995), 67-76) (1998) (1)
Exponential diophantine equations: The Catalan equation and related equations (1986) (1)
Arithmetic progressions with common difference divisible by small primes (2008) (1)
Exponential diophantine equations: References (1986) (1)
Analysis and optimization of an algorithm for Discrete Tomography (2002) (1)
Book Review: On a new method of analysis and its applications (1986) (1)
Number theory - Diophantine problems (1971) (1)
A one-sided power sum inequality (2011) (1)
Perfect powers in arithmetical progression (II) (1992) (1)
On infinite difference sets : (preprint) (1977) (1)
Polynomials dividing infinitely many quadrinomials or quintinomials (2003) (1)
Linear time reconstruction by discrete tomography in three dimensions (2021) (1)
Exponential diophantine equations: Notation (1986) (0)
Bounded discrepancy sets : (preprint) (1979) (0)
Approximate Discrete Reconstruction Algorithm (2013) (0)
A linear time approach to three-dimensional reconstruction by discrete tomography (2020) (0)
On the diophantine equation $1^k + 2^k + ... + R(x) = y^z$ (1978) (0)
N T ] 2 0 A pr 2 00 6 TWO S-UNIT EQUATIONS WITH MANY SOLUTIONS (2019) (0)
TRANSCENDENTAL NUMBER THEORY (1977) (0)
Exponential diophantine equations: Recurrence sequences (1986) (0)
On the edge-colouring property for the hereditary closure of a complete uniform hypergraph, 2 (1978) (0)
9 S-UNIT EQUATIONS AND THEIR APPLICATIONS (2006) (0)
Review: Andrei B. Shidlovskii, Transcendental numbers (1991) (0)
Exponential diophantine equations: Recurrence sequences of order 2, 3 and 4 (1986) (0)
On the equation 1 + 2 +...+ x = : (preprint) (1977) (0)
Correction to: “Sums of products of powers of given prime numbers” (1988) (0)
Simultaneous weighted sums of elements of finitely generated multiplicative groups (1988) (0)
Purely exponential equations (1986) (0)
Exponential diophantine equations: Preface (1986) (0)
On the difference of integer-valued additive functions (2022) (0)
Exponential diophantine equations: Perfect powers in binary recurrence sequences (1986) (0)
Estimates of linear forms in logarithms (1986) (0)
Diophantine equations for Littlewood polynomials (2023) (0)
Binary recurrence sequences (1986) (0)
Review: Paul Turán, On a new method of analysis and its applications (1986) (0)
Exponential diophantine equations: Introduction (1986) (0)
The generalised superelliptic equation (1986) (0)
A note on the Fermat equation (1987) (0)
Some extensions and re nements of atheorem of SylvesterN (0)
Exponential diophantine equations: The superelliptic equation (1986) (0)
Computational number theory and data security (MAS2.2) (1997) (0)
Discrete tomography in four directions (1999) (0)
A progress report on discrepancy (2019) (0)
Appendix to 'Diophantine equations' (1982) (0)
Lattices and Multidimensional Words (2004) (0)
Exponential diophantine equations: The Thue equation (1986) (0)
69-8 Catalan without logarithmic forms ( after Bugeaud , Hanrot and Mihailescu ) (2006) (0)
Two applications of number theory to discrete tomography (2019) (0)
Exponential diophantine equations: Binary recurrence sequences with rational roots (1986) (0)
Skolem’s conjecture confirmed for a family of exponential equations, II (2021) (0)
Error Correction for Discrete Tomography (2022) (0)
Exponential diophantine equations: Results from algebraic number theory (1986) (0)
Singular differences of powers of $2 \times 2$-matrices (1996) (0)
Exponential diophantine equations: Perfect powers at integral values of a polynomial (1986) (0)
The Diophantine equation $f(x)=g(y)$ for polynomials with simple rational roots (2022) (0)
The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots (2023) (0)
Linear forms in logarithms and exponential Diophantine equations (2020) (0)
Exponential diophantine equations: The Fermat equation (1986) (0)
Proceedings of the International Congress of Mathematicians Helsinki . 1978 Exponential Diophantine Equations (2010) (0)
Exponential diophantine equations: The Thue–Mahler equation (1986) (0)
On a diophantine equation involving quadratic characters (2019) (0)
Diophantine Approximation of Matrices (1996) (0)
Representing integers as linear combinations of power products (2012) (0)
On conjectures and problems of Ruzsa concerning difference graphs of S-units (2015) (0)

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What Schools Are Affiliated With Robert Tijdeman?

Robert Tijdeman is affiliated with the following schools:

Robert Tijdeman's Academic­Influence.com Rankings